What is 5/10 of 91?

How to calculate 5/10 of 91?

1. Multiply the whole number by the numerator of the fraction: 91 × 5 = 455
2. Divide this result by denominator of the fraction: 455/10 = 45.5
3. Simplify by dividing both the numerator and denominator by their GCD (5):
   • 455/5 = 91
   • 10/5 = 2
4. Which gives: 91/2

Since 91/2 is an improper fraction, the result could also be expressed as a mixed number: 45 1/2

How does it work?

The principle behind finding a fraction of a number, such as 5/10 of 91, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{10}=\frac{x}{91}$ (where x represents 5/10 of 91)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 91=10x$
2. Which gives: $455=10x$
3. Divide both sides by 10 to isolate x: $\frac{455}{10}=\frac{10x}{10}$
4. Which gives the result: $\frac{455}{10}=x$ (or $\frac{91}{2}=x$)

Thus, 5/10 of 91 is equal to 91/2 (or 45.5 in its decimal form).